MULTI-STEP ITERATIVE ALGORITHM FOR MINIMIZATION AND FIXED POINT PROBLEMS IN P-UNIFORMLY CONVEX METRIC SPACES

被引：37

作者：

Aremu, Kazeem Olalekan ^{[1
]}

Izuchukwu, Chinedu ^{[1
,2
]}

Ogwo, Grace Nnenanya ^{[1
]}

Mewomo, Oluwatosin Temitope ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

[2] DSI NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South Africa

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2021年 / 17卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

p-uniformly convex metric spaces; asymptotically k-strictly pseudo-contractive mapping; p-resolvent operator; Delta-convergence; CONVERGENCE; MAPPINGS;

D O I：

10.3934/jimo.2020063

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we propose and study a multi-step iterative algorithm that comprises of a finite family of asymptotically ki-strictly pseudocontractive mappings with respect to p, and a p-resolvent operator associated with a proper convex and lower semicontinuous function in a p-uniformly convex metric space. Also, we establish the Delta-convergence of the proposed algorithm to a common fixed point of finite family of asymptotically ki-strictly pseudocontractive mappings which is also a minimizer of a proper convex and lower semicontinuous function. Furthermore, nontrivial numerical examples of our algorithm are given to show its applicability. Our results complement a host of recent results in literature.

引用

页码：2161 / 2180

页数：20

共 27 条

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